Finding the Third Proportional to 223,971 and 468,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,971 : 468,688.50 = 468,688.50 : x
2. Step 2: Convert to fraction form
   223,971/468,688.50 = 468,688.50/x
3. Step 3: Cross multiply
   223,971x = 468,688.50 × 468,688.50
4. Step 4: Simplify right side
   223,971x = 219,668,910,032.25
5. Step 5: Solve for x
   x = 219,668,910,032.25/223,971
6. Step 6: Final answer
   x = 980,791.75